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Finding the Third Proportional to 99,752 and 150,663

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Solution

The third proportional to 99,752 and 150,663 is: 227,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,752 : 150,663 = 150,663 : x
  2. Step 2: Convert to fraction form
    99,752/150,663 = 150,663/x
  3. Step 3: Cross multiply
    99,752x = 150,663 × 150,663
  4. Step 4: Simplify right side
    99,752x = 22,699,339,569
  5. Step 5: Solve for x
    x = 22,699,339,569/99,752
  6. Step 6: Final answer
    x = 227,557.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.